Final answer:
Jack can either make 6 visits to Taco Hut and 0 visits to Pizza Shack, or 5 visits to Pizza Shack and 0 visits to Taco Hut.
Step-by-step explanation:
Jack has $60 to spend on lunch each week. He eats either at the Taco Hut, which costs $10, or the Pizza Shack, which costs $12. To find which combinations are on Jack's budget line, we can divide his total budget by the cost of each option.
If Jack spends all his money on Taco Hut ($60 / $10 = 6), he can eat there 6 times a week. If he spends all his money on Pizza Shack ($60 / $12 = 5), he can eat there 5 times a week.
So, the combinations on Jack's budget line are: 6 visits to Taco Hut and 0 visits to Pizza Shack, or 5 visits to Pizza Shack and 0 visits to Taco Hut.